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2221152209 is a prime number
BaseRepresentation
bin1000010001100100…
…0001011111010001
312201210111020000122
42010121001133101
514022103332314
61004223000025
7106020324263
oct20431013721
95653436018
102221152209
11a3a867591
1251ba39015
13295229363
14170dc5b33
15ceee928e
hex846417d1

2221152209 has 2 divisors, whose sum is σ = 2221152210. Its totient is φ = 2221152208.

The previous prime is 2221152151. The next prime is 2221152211. The reversal of 2221152209 is 9022511222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1857868609 + 363283600 = 43103^2 + 19060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221152209 - 212 = 2221148113 is a prime.

Together with 2221152211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2221152259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110576104 + 1110576105.

It is an arithmetic number, because the mean of its divisors is an integer number (1110576105).

Almost surely, 22221152209 is an apocalyptic number.

It is an amenable number.

2221152209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221152209 is an equidigital number, since it uses as much as digits as its factorization.

2221152209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2221152209 is about 47129.1015085159. The cubic root of 2221152209 is about 1304.7463987568.

The spelling of 2221152209 in words is "two billion, two hundred twenty-one million, one hundred fifty-two thousand, two hundred nine".